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Current location：Mathematical operation > History of Mathematical Computation > Answer
Overview: 1 questions will be solved this time.Among them
☆1 equations
[ 1/1 Equation]
Work: Find the solution of equation （31542676.48-x）*0.11 = 3154267.65 .
Question type: Equation
Solution:Original question:
| ( | 788566912 25 | − | x | ) | × | 11 100 | = | 63085353 20 |
| Left side of the equation = | 788566912 25 | × | 11 100 | − | x | × | 11 100 |
| = | 2168559008 625 | − | x | × | 11 100 |
2168559008 625 | − | 11 100 | x | = | 63085353 20 |
Transposition :
| - | 11 100 | x | = | 63085353 20 | − | 2168559008 625 |
Combine the items on the right of the equation:
| - | 11 100 | x | = | - | 788566907 2500 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
788566907 2500 | = | 11 100 | x |
If the left side of the equation is equal to the right side, then the right side must also be equal to the left side, that is :
11 100 | x | = | 788566907 2500 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 788566907 2500 | ÷ | 11 100 |
| = | 788566907 2500 | × | 100 11 |
| = | 788566907 25 | × | 1 11 |
We obtained :
| x | = | 788566907 275 |
Convert the result to decimal form :
| x | = | 2867516.025455 |